9072480 has 96 divisors (see below), whose sum is σ = 29338848. Its totient is φ = 2355200.

The previous prime is 9072473. The next prime is 9072517. The reversal of 9072480 is 842709.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19450 + ... + 19910.

It is an arithmetic number, because the mean of its divisors is an integer number (305613).

Almost surely, 2^9072480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669424).

9072480 is an abundant number, since it is smaller than the sum of its proper divisors (20266368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9072480 is a wasteful number, since it uses less digits than its factorization.

9072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 9072480 is about 3012.0557763760. The cubic root of 9072480 is about 208.5652769634.

The spelling of 9072480 in words is "nine million, seventy-two thousand, four hundred eighty".